Abstract
In this paper, we show how to use a recent theorem of Nekovář [12] to produce families of examples of elliptic curves over number fields whose p-power Selmer groups grow systematically in Zpd-extensions. We give a somewhat different exposition and proof of Nekovář's theorem, and we show in many cases how to replace the fundamental requirement that the elliptic curve has odd p-Selmer rank by a root number calculation.
Citation
Barry Mazur. Karl Rubin. "Finding large Selmer Groups." J. Differential Geom. 70 (1) 1 - 22, May 2005. https://doi.org/10.4310/jdg/1143572012
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